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Finding the Fourth Proportional to 61,834.34, 85,330.32 and 33,539.42

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Solution

The fourth proportional to 61,834.34, 85,330.32 and 33,539.42 is: 46,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,834.34 : 85,330.32 = 33,539.42 : x
  2. Step 2: Convert to fraction form
    61,834.34/85,330.32 = 33,539.42/x
  3. Step 3: Cross multiply
    61,834.34x = 85,330.32 × 33,539.42
  4. Step 4: Simplify right side
    61,834.34x = 2,861,929,441.21
  5. Step 5: Solve for x
    x = 2,861,929,441.21/61,834.34
  6. Step 6: Final answer
    x = 46,283.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.